Attached a spring with a spring constant of 5 N/m onto a utility clamp on the end of a ring stand
Hung mass set with mass of 50 grams on the other end of the spring
Set the first iron ring at the equilibrium height
Set the second iron ring at an amplitude of .05 m
Pulled mass on spring down to the amplitude, released, and started timing
Stopped timing after 6 cycles
Increased mass, adjusted ring heights and repeated increasing the mass three times with three trials each time
Increased amplitude while keeping mass constant, increasing five times with three trials each time
Data
Graphs
The data and graphs indicate a correlation between the mass and the period of a spring with mass system, but not between the amplitude and period. One can conclude this because the mass vs. period graph has a slope, indicating that the period is dependent of the mass, and in the other graph the slope is almost zero, indicating that period is independent of amplitude.
Mathematical Model
T = 2pi(m/k)^(1/2)
The mathematical model supports what is represented by the graph, that amplitude is independent of period and that period is dependent on mass.
Procedure
Data
Graphs
The data and graphs indicate a correlation between the mass and the period of a spring with mass system, but not between the amplitude and period. One can conclude this because the mass vs. period graph has a slope, indicating that the period is dependent of the mass, and in the other graph the slope is almost zero, indicating that period is independent of amplitude.
Mathematical Model
T = 2pi(m/k)^(1/2)
The mathematical model supports what is represented by the graph, that amplitude is independent of period and that period is dependent on mass.